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%% GR.tex
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%% Made by alex
%% Login   <alex@tomato>
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%% Started on  Tue Feb 14 08:28:49 2012 alex
%% Last update Tue Feb 14 08:28:49 2012 alex
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\documentclass{article}
\usepackage{booktabs}
\usepackage{chunk}
\usepackage{notebk}
\usepackage{xmpincl}
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\ifpdf
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\makeatletter
\renewcommand*{\@cite@ofmt}{\bfseries\hbox}
\makeatother

\input{macros}
\def\bigO{\mathop{\mathcal{O}}\nolimits}
\def\arccosh{\mathop{\mathrm{ArcCosh}}\nolimits}
\def\pathOrder{\mathop{\mathcal{P}}\nolimits}
\def\TODO#1{\marginpar{\normalfont\texttt{TODO:} #1}}

\title{Notes on Classical General Relativity}
\date{February 14, 2012}
\begin{document}
\maketitle
\tableofcontents

\include{tex/preface}

\phantomsection
\bigskip
\noindent\textbf{\Large Part I}

\medskip
\noindent\textbf{\huge\addcontentsline{toc}{section}{Part I: Physical Motivation}Physical Motivation}

\lecture[Geometry and Physics] % 26--29 september 
\input{tex/lecture01}
\lecture[Geodesics] % 1--3 october
\input{tex/lecture02}
\lecture[Massive Geodesics] % 6 october
\input{tex/lecture03}
\lecture[Lightlike Geodesics] % 8 october
\input{tex/lecture04}

\bigskip\phantomsection
\noindent\textbf{\Large Part II}

\medskip
\noindent\textbf{\huge\addcontentsline{toc}{section}{Part II: Mathematical Tools}Mathematical Tools}

\lecture[Manifolds] % 10 october
\input{tex/lecture05}
\lecture[Vectors] % 13 october
\input{tex/lecture06}
\lecture[Vector Fields] % 15 october
\input{tex/lecture07}
\lecture[Tensors] % 17 october
\input{tex/lecture08}
\lecture[Tensor Densities] % 20 october
\input{tex/lecture09}
\begin{exercises}
  \input{tex/prob3} % problem set 3
\end{exercises}
\lecture[Exterior Algebra] % 27 october
\input{tex/lecture10}
\lecture[Connection on Manifold] % 29 October
\input{tex/lecture11}
\lecture[Spin Connection] % 31 october
\input{tex/lecture12}
\lecture[Curvature] % 3 November
\input{tex/lecture13}
\lecture[Geodesic Deviation, Curvature Properties] % 5 november
\input{tex/lecture14}

\begin{exercises}
  \input{tex/prob4} % problem set 4
\end{exercises}
\bigbreak\phantomsection
\noindent\textbf{\Large Part III}
\medskip
\noindent\textbf{\huge\addcontentsline{toc}{section}{Part III: General Relativity}General Relativity}
\lecture[Deriving Field Equations]
\input{tex/lecture15} % 7 november
\lecture[Symmetries and Killing Vectors] % 12 november
\input{tex/lecture16}
\lecture[Stress-Energy Tensor] % 15 november
\input{tex/lecture17}
\lecture[Linearized Gravity] % 17 november
\input{tex/lecture18} 
\lecture[Gravitational Radiation] % 19 november
\input{tex/lecture19}
\lecture[Spherically Symmetric Solutions, Black Holes] % 21 november
\input{tex/lecture20}
\lecture[Eddington--Finkelstein, Kruskal--Szekeres Coordinates] % 24 november
\input{tex/lecture21}
\lecture[Brief Cosmology] % 26 november
\input{tex/lecture22}
\section*{Additional Topics}
\input{tex/todo}
\include{tex/bib}

\end{document}
